Stability on parametric strong symmetric quasi-equilibrium problems via nonlinear scalarization Article Swipe

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Zai-Yun Peng , Jingjing Wang , Yong Zhao , Renli Liang ·

YOU? · · 2022 · Open Access · · DOI: https://doi.org/10.23952/jnva.6.2022.4.06

This paper focuses on the stability analysis of a class of parametric strong symmetric quasiequilibrium problems (PSSQEP) via scalarization approaches.Based on the oriented distance function, a new nonlinear scalarization function which can separate sets {0} and -C\{0} is presented.By virtue of the scalarization function, a new form of scalar parametric strong symmetric quasi-equilibrium problem (PSSQEP) ψ is obtained, and the union relation between the solution set of (PSSQEP) and the solution sets of a series of (PSSQEP) ψ is established.Finally, the sufficient conditions of the Bergesemicontinuity of solution mappings for (PSSQEP) are obtained via the union relation and the nonlinear scalarization technique, which is different from the scalarization method recently announced.Some interesting examples are given to illustrate the main results.

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Nonlinear system Parametric statistics Quasistatic process Stability (learning theory) Mathematical economics Symmetric equilibrium Mathematics Applied mathematics Economics Mathematical optimization Statistical physics Computer science Physics Equilibrium selection Thermodynamics Game theory Statistics Repeated game Machine learning Quantum mechanics

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Type: article
Language: en
Landing Page: https://doi.org/10.23952/jnva.6.2022.4.06
PDF: http://jnva.biemdas.com/issues/JNVA2022-4-6.pdf
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Cited By: 4
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DOI: https://doi.org/10.23952/jnva.6.2022.4.06

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Title: Stability on parametric strong symmetric quasi-equilibrium problems via nonlinear scalarization

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Language: en

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Publication year: 2022

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Authors: Zai-Yun Peng, Jingjing Wang, Yong Zhao, Renli Liang

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Concepts: Nonlinear system, Parametric statistics, Quasistatic process, Stability (learning theory), Mathematical economics, Symmetric equilibrium, Mathematics, Applied mathematics, Economics, Mathematical optimization, Statistical physics, Computer science, Physics, Equilibrium selection, Thermodynamics, Game theory, Statistics, Repeated game, Machine learning, Quantum mechanics

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Cited by: 4

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